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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C32⋊C6

Direct product G=N×Q with N=C4 and Q=C2×C32⋊C6
dρLabelID
C2×C4×C32⋊C672C2xC4xC3^2:C6432,349

Semidirect products G=N:Q with N=C4 and Q=C2×C32⋊C6
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C32⋊C6) = D4×C32⋊C6φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C43612+C4:1(C2xC3^2:C6)432,360
C4⋊2(C2×C32⋊C6) = C2×He3⋊4D4φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C472C4:2(C2xC3^2:C6)432,350

Non-split extensions G=N.Q with N=C4 and Q=C2×C32⋊C6
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C32⋊C6) = He3⋊8SD16φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212-C4.1(C2xC3^2:C6)432,152
C4.2(C2×C32⋊C6) = He3⋊6D8φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212+C4.2(C2xC3^2:C6)432,153
C4.3(C2×C32⋊C6) = He3⋊6Q16φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C414412-C4.3(C2xC3^2:C6)432,160
C4.4(C2×C32⋊C6) = He3⋊10SD16φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212+C4.4(C2xC3^2:C6)432,161
C4.5(C2×C32⋊C6) = C62.13D6φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212-C4.5(C2xC3^2:C6)432,361
C4.6(C2×C32⋊C6) = Q8×C32⋊C6φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212-C4.6(C2xC3^2:C6)432,368
C4.7(C2×C32⋊C6) = (Q8×He3)⋊C2φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C47212+C4.7(C2xC3^2:C6)432,369
C4.8(C2×C32⋊C6) = He3⋊4Q16φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C41446-C4.8(C2xC3^2:C6)432,114
C4.9(C2×C32⋊C6) = He3⋊6SD16φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C4726C4.9(C2xC3^2:C6)432,117
C4.10(C2×C32⋊C6) = He3⋊4D8φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C4726+C4.10(C2xC3^2:C6)432,118
C4.11(C2×C32⋊C6) = C2×He3⋊3Q8φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C4144C4.11(C2xC3^2:C6)432,348
C4.12(C2×C32⋊C6) = C8×C32⋊C6central extension (φ=1)726C4.12(C2xC3^2:C6)432,115
C4.13(C2×C32⋊C6) = He3⋊5M4(2)central extension (φ=1)726C4.13(C2xC3^2:C6)432,116
C4.14(C2×C32⋊C6) = C2×He3⋊3C8central extension (φ=1)144C4.14(C2xC3^2:C6)432,136
C4.15(C2×C32⋊C6) = He3⋊7M4(2)central extension (φ=1)726C4.15(C2xC3^2:C6)432,137
C4.16(C2×C32⋊C6) = C62.36D6central extension (φ=1)726C4.16(C2xC3^2:C6)432,351

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